# A letter is selected at random from the word "ASSASSINATION".Find the probability that letter is a vowel

$\begin{array}{1 1}(A)\;\large\frac{6}{13}\\(B)\;\large\frac{7}{13}\\(C)\;\large\frac{5}{13}\\(D)\;\large\frac{8}{13}\end{array}$

Toolbox:
• Probability =$\large\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$
Step 1:
Given the word "ASSASSINATION"
$\therefore$ Total number of letters =13
Total number of vowels in the word =3(A)+2(I)+1(O)
$\Rightarrow 6$
Total number of consonants in the word =7
Step 2:
Probability that letter is a vowel =$\large\frac{n(E)}{n(S)}$
$\Rightarrow \large\frac{6}{13}$
Hence (A) is the correct answer.
answered Jul 1, 2014